It won't really matter, though you should probably take pains to avoid looking like Just Another Smart Asian Kid.
I wrote a glowing review for my alma mater about a student I interviewed which focused on her cheerleading, sense of humor, and overcoming of societal discrimination, because "smart Asian worked hard and wants to go to med school" is not a strong marketing move. (Incidentally, you know how culture sometimes gets in the way of academic success? In this case, a cultural background which places emphasis on hard work and scholastic achievement is a tremendous impediment to maximizing for what admissions officers actually care about.)
In the alternative, you can have your kids apply to a Japanese university, where they will be judged by their test scores without regard to their race.
